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-4x\leq -3\left(x+1\right)
Multiply both sides of the equation by 2. Since 2 is positive, the inequality direction remains the same.
-4x\leq -3x-3
Use the distributive property to multiply -3 by x+1.
-4x+3x\leq -3
Add 3x to both sides.
-x\leq -3
Combine -4x and 3x to get -x.
x\geq \frac{-3}{-1}
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
x\geq 3
Fraction \frac{-3}{-1} can be simplified to 3 by removing the negative sign from both the numerator and the denominator.